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Speaker directivity / off axis response: theory and ...

    http://www.acousticfrontiers.com/20131129controlled-directivity-speakers-open-up-your-acoustic-treatment-options/#:~:text=Directivity%20is%20the%20term%20used%20to%20describe%20the,consistency%20between%20the%20on%20and%20off%20axis%20sound.
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1 Maximal directivity at audio frequencies

    https://ccrma.stanford.edu/~dattorro/ultra.pdf
    directivity The best ultrasonic array can produce audio frequencies in a range 200Hz-20kHz (3dB bandwidth), when demodulated by air, that exceeds car radio bandwidths from the ’60s and ’70s. (Figure 2) Maximal-directivity 200Hz-20kHz bandwidth is attainable with proper output level, equalization, and surface area [11].

Limitations of Loudspeaker Directivity | Audio Spotlight

    https://www.holosonics.com/fundamental-limitations-of-loudspeaker-directivity
    The directivity of all traditional loudspeaker devices is fundamentally limited by nothing more than the size of the source compared to the wavelengths it is generating. A large loudspeaker will be more directive than a small loudspeaker, or a loudspeaker specified at higher frequency (smaller wavelength) will also have more directivity.

Directivity | JBL Professional Loudspeakers

    https://jblpro.com/innovation-directivity
    Frequency response is optimal, distortion is superbly low, depth is minimized for use where a shallow enclo- sure is required. Beamwidth and directivity are optimal in the horizontal plane. Vertical beamwidth and directivity are optimized to provide a good match with JBL low frequency and midrange transducers; however, vertical pattern control does not extend as low as …

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